Supports and extreme points in Lipschitz-free spaces

DOI10.4171/rmi/1191zbMath1465.46015arXiv1810.11278OpenAlexW3099501926MaRDI QIDQ1998695

Eva Pernecká, Ramón J. Aliaga

Publication date: 7 March 2021

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.11278

zbMATH Keywords

extreme pointsupportLipschitz-free space

Mathematics Subject Classification ID

Complete metric spaces (54E50) Geometry and structure of normed linear spaces (46B20)

Related Items (17)

Projecting Lipschitz functions onto spaces of polynomials ⋮ Octahedral norms in duals and biduals of Lipschitz-free spaces ⋮ Points of differentiability of the norm in Lipschitz-free spaces ⋮ Some results on isometric composition operators on Lipschitz spaces ⋮ Supports in Lipschitz-free spaces and applications to extremal structure ⋮ Compact and weakly compact Lipschitz operators ⋮ Lipschitz geometry of operator spaces and Lipschitz-free operator spaces ⋮ A pre-adjoint approach on weighted composition operators between spaces of Lipschitz functions ⋮ Injectivity of Lipschitz operators ⋮ Geometry and volume product of finite dimensional Lipschitz-free spaces ⋮ Embeddings of Lipschitz-free spaces into \(\ell_1\) ⋮ Examples and applications of the density of strongly norm attaining Lipschitz maps ⋮ On the dynamics of Lipschitz operators ⋮ Compact reduction in Lipschitz-free spaces ⋮ RETRACTED - Compact reduction in Lipschitz-free spaces ⋮ Analysis on Laakso graphs with application to the structure of transportation cost spaces ⋮ Extreme points in Lipschitz-free spaces over compact metric spaces

Cites Work

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• Banach space theory. The basis for linear and nonlinear analysis
• On the structure of Lipschitz-free spaces
• A survey on Lipschitz-free Banach Spaces
• Banach spaces of Lipschitz functions
• The Daugavet property for spaces of Lipschitz functions
• Lipschitz-free Banach spaces
• On the preserved extremal structure of Lipschitz-free spaces
• Free spaces over countable compact metric spaces
• On Preserved and Unpreserved Extreme Points

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